There are only blue yellow and green cubes in a bag

padilas [110]

Answer:

No

Step-by-step explanation:

These sides are unable to form an obtuse triangle, making these sides unable to form any triangle. However they are able to form a right triangle (A Pythagorean triple) and an acute.

8 0

2 years ago

Simplify the expression.<br><br>(1/4)^(-3/2)<br><br>Please show how to do the problem.

Vlad [161]

Alright, so since it's to the negative power we essentially have 1/(1/4^(3/2)). After that, we find (1/4)^3=1^3/4^3=1/64 and find the square root of that, which is (sqrt1)/(sqrt64)=1/8. Since the answer is 1/(1/8), we get the answer to be 8

3 0

2 years ago

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

Please help with two and four

bagirrra123 [75]

Question 1)
575 = 100%
57.5= 10%
57.5 × 2= 115 (20%)

question 2)
575=100%
57.5=10%
115=20%
5.75=1%.

5.75 × 4=22.8 (4%)

22.8 (4%) + 115 (20%) =137.8(24%) which would be rounded up to 138

hope this helps♡♡~~Chyna

4 0

2 years ago

convert the linear equation 3x-2y=5 to point slope form. use the point with an x-coordinate equal to 1

Mademuasel [1]

When x = 1, y = (5 - 3) / -2 = -1 , let x1 = 1 and y1 = -1
2y = 3x - 5
so slope = 3/2

y - y1 = m(x - x1)

y -(-1) = (3/2)(x - 1)

y + 1 = 3/2 ( x - 1) <----- answer

6 0

3 years ago